{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "from length_leaf import *\n",
    "import numpy as np\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.load('LeafCounting/data/dataset_folder_5.npz', allow_pickle=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = data['arr_0']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(74, 240, 240, 3)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(149, 128)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "find_centroid(x[20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x27613f4fc48>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(x[20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_centroid(x[20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2761407e588>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "output,mask = extract_leaf(x[10])\n",
    "plt.imshow(output)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x276140de5c8>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(x[12])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "102.59142264341595"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "calculate_max_length_leaf(x[32])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_centroid2tip(x[32])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = load_image(\"C:/Users/Admin/Desktop/Thesis/ModelResults/Model v1/model.png\", default_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Invalid image!\n"
     ]
    }
   ],
   "source": [
    "draw_length_leaf(\"C:/Users/Admin/Desktop/Thesis/ModelResults/Model v1/model.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Invalid image!\n"
     ]
    }
   ],
   "source": [
    "draw_centroid(test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "calculate_max_length_leaf(test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "length_leaf(\"C:/Users/Admin/Desktop/Thesis/ModelResults/Model v1/model.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "centroid = find_centroid(x[20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "contours_pixels = find_contours(x[20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(149, 128)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "centroid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "277"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(contours_pixels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x276151f8648>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "leaf_image, leaf_mask = extract_leaf(x[0])\n",
    "edges = cv2.Canny(leaf_mask, 100, 1200)\n",
    "plt.imshow(edges)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x276152616c8>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(x[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 755,
   "metadata": {},
   "outputs": [],
   "source": [
    "index = 20\n",
    "test = x[index].copy()\n",
    "leaf_image, leaf_mask = extract_leaf(x[index])\n",
    "centroid = find_centroid(x[index])\n",
    "image = cv2.cvtColor(test, cv2.COLOR_BGR2GRAY)\n",
    "ret, thresh = cv2.threshold(leaf_mask, 127, 255, 0)\n",
    "contours, hierarchy = cv2.findContours(thresh, cv2.RETR_TREE, cv2.CHAIN_APPROX_SIMPLE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 756,
   "metadata": {},
   "outputs": [],
   "source": [
    "index = 20\n",
    "centroid = find_centroid(x[index])\n",
    "contours = find_external_contours(x[index])\n",
    "contours = find_good_contours(contours, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 757,
   "metadata": {},
   "outputs": [],
   "source": [
    "def draw_point(np_image, point):\n",
    "    cv2.circle(np_image, tuple(point), 1, (0, 255, 0), -1)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 758,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = x[index].copy()\n",
    "for point in contours[0]:\n",
    "    draw_point(test, point[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 759,
   "metadata": {},
   "outputs": [],
   "source": [
    "lengths = []\n",
    "for contour in contours:\n",
    "    lengths_of_contour = []\n",
    "    for pixel in contour:\n",
    "        point = tuple(pixel[0])\n",
    "        length = math.sqrt((centroid[1] - point[0])**2 + (centroid[0] - point[1])**2)\n",
    "        lengths_of_contour.append(length)\n",
    "    \n",
    "    lengths.append(lengths_of_contour)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 760,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "33.61547262794322"
      ]
     },
     "execution_count": 760,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(lengths[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 761,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(lengths[0])\n",
    "plt.ylabel('length')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 762,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1cfa3e34b08>"
      ]
     },
     "execution_count": 762,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(x[index])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "34.0147027033899"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "calculate_max_length_leaf(x[index])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "idx = [i for i in range(len(lengths[0]))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "f = np.polynomial.chebyshev.Chebyshev.fit(idx, lengths[0],30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2761402cac8>]"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([f(i) for i in idx])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "32.15645151870631"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max([f(i) for i in idx])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 718,
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_next(f, xs, i):\n",
    "    return f(i+1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 719,
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_prev(f, xs, i):\n",
    "    return f(i-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 720,
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_extreme(f, xs):\n",
    "    extreme_values = []\n",
    "    extreme_xs = []\n",
    "    for i in range(len(xs)):\n",
    "        if f(i) > find_prev(f, xs, i) and f(i) > find_next(f, xs, i):\n",
    "            extreme_values.append(f(i))\n",
    "            extreme_xs.append(i)\n",
    "    return extreme_values, extreme_xs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "value, locate = find_extreme(f, idx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[31.335163556293708,\n",
       " 18.170385014778272,\n",
       " 30.884572932362634,\n",
       " 32.15645151870631,\n",
       " 29.258985066450787]"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 47, 91, 176, 249]"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "locate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_average_length_leaf(np_image, coef_x=1, coef_y=1):\n",
    "    leaf_image, leaf_mask = extract_leaf(np_image)\n",
    "    centroid = find_centroid(np_image)\n",
    "    contours = find_external_contours(np_image)\n",
    "    contours = find_good_contours(contours, 10)\n",
    "    \n",
    "    lengths = []\n",
    "    for contour in contours:\n",
    "        lengths_of_contour = []\n",
    "        for pixel in contour:\n",
    "            point = tuple(pixel[0])\n",
    "            length = math.sqrt((coef_x*(centroid[1] - point[0]))**2 + (coef_y*(centroid[0] - point[1]))**2)\n",
    "            lengths_of_contour.append(length)\n",
    "        lengths.append(lengths_of_contour)\n",
    "    \n",
    "    length_leafs = []\n",
    "    for length in lengths:\n",
    "        idx = [i for i in range(len(length))]\n",
    "        f = np.polynomial.chebyshev.Chebyshev.fit(idx, length, 20)\n",
    "        value, locate = find_extreme(f, idx)\n",
    "        length_leafs += [length[i] for i in locate]\n",
    "        \n",
    "    length_average = sum(length_leafs)/len(length_leafs)\n",
    "    return length_average"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Admin\\Anaconda3\\envs\\environment\\lib\\site-packages\\numpy\\polynomial\\chebyshev.py:1647: RankWarning: The fit may be poorly conditioned\n",
      "  return pu._fit(chebvander, x, y, deg, rcond, full, w)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "64.31127708479276"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "calculate_average_length_leaf(x[30])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "index = 9\n",
    "np_image = x[index]\n",
    "leaf_image, leaf_mask = extract_leaf(np_image)\n",
    "centroid = find_centroid(np_image)\n",
    "contours = find_external_contours(np_image)\n",
    "contours = find_good_contours(contours, 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "438"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(contours[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x25a71ef4bc8>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test = np_image.copy()\n",
    "plt.imshow(cv2.drawContours(test, contours, -1, (0,255,0)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_centroid2tip(np_image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "coef_x = 1\n",
    "coef_y = 1\n",
    "lengths = []\n",
    "for contour in contours:\n",
    "    lengths_of_contour = []\n",
    "    for pixel in contour:\n",
    "        point = tuple(pixel[0])\n",
    "        length = math.sqrt((coef_x*(centroid[1] - point[0]))**2 + (coef_y*(centroid[0] - point[1]))**2)\n",
    "        lengths_of_contour.append(length)\n",
    "    lengths.append(lengths_of_contour)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def choose_deg(length):\n",
    "    return math.ceil(len(length)/100) * 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# def remove_bad_extreme(extreme_locate):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def padding_length(ls, x):\n",
    "    if x > len(ls):\n",
    "        return ls\n",
    "    else:\n",
    "        return ls[-x:] + ls + ls[:x]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def padding_idx(ls, x):\n",
    "    if x > len(ls):\n",
    "        return ls\n",
    "    else:\n",
    "        return [i for i in range(-x, 0, 1)] + ls + [len(ls)+i for i in range(x)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "length_leafs = []\n",
    "locates = []\n",
    "for length in lengths:\n",
    "    idx = [i for i in range(len(length))]\n",
    "    f = np.polynomial.chebyshev.Chebyshev.fit(padding_idx(idx, len(idx)//2), padding_length(length, len(length)//2), choose_deg(length))\n",
    "    value, locate = find_extreme(f, idx)\n",
    "    length_leafs += [length[i] for i in locate]\n",
    "    locates.append(locate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(lengths)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[60, 138, 235]]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "locates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_tip_locates(locates, contours):\n",
    "    tip_locates = []\n",
    "\n",
    "    if len(locates) != len(contours):\n",
    "        return tip_locates\n",
    "\n",
    "    for i in range(len(locates)):\n",
    "        for lc in locates[i]:\n",
    "            tip_locates.append(tuple(contours[i][lc][0]))\n",
    "    return tip_locates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(40, 81), (102, 115), (156, 69)]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "get_tip_locates(locates, contours)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[57.0, 34.36568055487916, 60.207972893961475]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "length_leafs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[60, 138, 235]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "locate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "61.814237842102365"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "calculate_max_length_leaf(x[index])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "61.66036003787198"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(lengths[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZP7S/vpe02DByEiOMDuWvnLuQKSsyTUUS+DwdaexDa+/Vv11WZ8efe33hXyrqe1iXn4hS3t3/cjYKkqMIC7ZITxSTkQQ+TwfP9qHUe7t3e0tKTBhZ8REclguZfqW1f5SW/rFzrYPNJjjIwpK0GE7KFFZTkQQ+T64FPLHhnl/AM1VpTryMwP3MYWePmzVe/kQ3F8XpMVS1SgI3E0ng82C3aw419Hq9fOJSmhNPU+8oXUPjhry+cL9DjX2EBltY7oEt+dylOCOWrqFxOgflfWcWksDnobZriIGxScMSeIks6PE7hxv6WJkZ69GWxAu1LD0GQFYCm4h53y0mdvCsI3F6awXmVCuzYrEoZD64n7Da7Bxt7ju3ibBZLXUm8JNtciHTLCSBz8PBhl5iw4NZlOydBTxTRYYGsyQtRurgfuJU2yBjVjtrvHxBfK6SosNIjQmTOriJSAKfh4MNvazx8gKeqUpz4jnS1IfW0pnQ1x1qcLRkMHsCB0cdXEbg5iEJfI4GxqxUdwwZVv92KcmJp2/ESkPPiKFxiIU71NB3bnqo2S1Lj6G6fUiW1JuEJPA5OtzgXMBjUP3bpcS5oOewlFF83qHGPtbkxJtyAc9UxRkxTNjs1MmSelOQBD5HhxqcC3g8vAPPTJakRRMeYuGIXMj0ab3DE9R1DXt9Qdh8Fac7pjlWyUwUU5AEPkcHG3pZkhpDjAELeM4XHGRhVVactJb1ca4VtWtMPgPFpTAlmmCL4qQsqTcFSeBzcG4Bj8HlE5eS7HiON/djlXqkzzrU0IdFwersOKNDmZXQYAuLU6NlSb1JSAKfA9cCHrMsdy7JiWd80i4LK3zY0aY+lqTFEGWCHehnqzg9RkbgJiEJfA7OLeAxSQJ31eGljOKbtNYca+pnZZZvjL5dijNiaekfo29kwuhQAp4k8Dk42NBLXEQIi5KjjA4FgOyECJKiQjnUIAncF7X2j9E9POEz5ROX4nMrMuWTn9Ekgc+BYwFPvKELeM733hZrksB90dEmxwyiVT42Al/mbLglZRTjSQKfJbMs4JlqTU48ZzqHGBizGh2KmKNjzX0EW9S5hOgrUmPCSIwKlRG4Ccw6gSulgpRSh5RSzznvFyil9iqlqpVSO5RSoZ4L03jnFvCYLIGX5sajNRyV+eA+52hTP0VpMYSHBBkdypwopRy9wSWBG24uI/DPAVXn3b8f+IHWugjoBe5xZ2Bmc7ChF6WgJMdcH3ddW6y5+mkI36C15nhzP6t9rHziUpwey6m2AWx26cVjpFklcKVUNnAj8EvnfQVcBTzufMjDwDZPBGgWBxv6WJpm/AKeqeIiQlicGi11cB/T1DtK74iVVT52AdOlOD2GMatdevEYbLYj8B8C/wa4VowkAX1a60nn/SYga7ofVErdq5SqUEpVdHZ2LihYo9jtmsPODoRmVOq8kCmdCX3HMefu7r42A8WlOMM5E0UuZBpqxgSulLoJ6NBaHzj/8DQPnTZ7aK1/rrUu11qXp6SkzDNMY51qH2RgbJJ1+eZN4N3DEzT2jBodipilY839hASpc5sk+Jqi1BgsSnqiGG02y782Ax9USt0AhAOxOEbk8UqpYOcoPBto8VyYxtpX1wPA+oJEgyOZnmtBz6HGXnKTIg2ORszGsaZ+lqbHEBbsWxcwXSJCg8hPjuKU9AY31IwjcK31V7TW2VrrfOCjwOta648DO4HbnA+7G3jGY1EabF9dD1nxEWQnmDM5FqfHEB5ikTq4j9Bac7Spj1VZ5uipM1/L0mNlKqHBFjIP/D7gC0qpGhw18V+5JyRz0Vqzt67HtKNvcHQmXJ0VLysyfURDzwgDY5M+t4BnquL0GM52jzA8Pjnzg4VHzCmBa613aa1vcn5dq7Ver7VerLW+XWs97pkQjVXXNUzX0Djr8s2bwMExH7yyZYDxSZvRoYgZnGhxlB1WZvnWAp6pip0LkE61yyjcKLIScwb7681d/3ZZkxPPhM0uG876gKrWAYIsiiVpvnkB0+VcTxR5zxlGEvgM9tb1kBQVSmGKORpYXYhrRxdZ0GN+lS0DLEqO8rkVmFNlJ0QQHRYsmxwbSBL4DPY5699m368wIy6CtNgwuZDpA6paB1ie6dvlE3AsqV+aHiMjcANJAr+I5r5RmnpHTV8+cSmVzoSm1zcyQUv/mM81sLoQR0+UAVlEZhBJ4Bex3zn/2+wXMF3W5CZwtnuE7iG/vJ7sFyqdKxeX+0sCz4hlcGySlv4xo0MJSJLAL2JvXQ8xYcE+M1pam+dYKVpxVurgZlXpnIHiK++pmSxLlyX1RpIEfhFv13RxyaIkgkyygcNMVmfHERpsOffJQZhPVesgKTFhpMSEGR2KWyyR3XkMJQn8Ahq6R2joGWHL4iSjQ5m1sOAgSrPjz019FOZT2TrgN6NvgNjwELITIiSBG0QS+AXsrukCYEuRbzXgWleQwPGWAUYmZHWc2UxM2qnpGPSb+rdLcXqslFAMIgn8AnbXdJIRF276+d9TrctPxGbXsqzehGo6hrDaNMsyfHsBz1TLMmKo7RpmzCqrgL1NEvg0bHbN2zXdbF6cbPr531OV5SWg1HsdFIV5VDlHqSv8YA74+Zamx2Cza2o6howOJeBIAp/GiZZ++ketXFqUbHQocxYbHsKy9Fipg5tQZesAYcEW8pN861PdTIrTnbvUSx3c62bTDzzgvHHKsXPQpkLfS+Dg6NuyY38jVpudkCAf+Rs9OAg7dkB1NRQVwR13QIx/lRqqWgcoTo8h2Ff+T2YpPymSsGCL1MEN4F/vJDd59WQHJdlxPjvVa11+IqNWG8ebfWSn+t27ISsLPv95eOABx21WluO4n9Ba+90MFJfgIAtL0mJkBG4ASeBTdAyOcaSxj63L0owOZd7WFTgX9NT7wIKewUG44QbH7fCw49jw8HvHh/yjrto2MEbfiNUveqBMpzg9RppaGUAS+BS7TjrKJ1uXpRocyfylxoSTnxTJXl+4kLljB41RSfxk40f4l5u/xFeu/WeeK97CpLKA3e4oq/gBf1uBOVVxRixdQxN0DkobB2+SGvgUr1a1kxkX7vNzdTcsSuL5Y63Y7Nq0K0mtNjvfq7byi7sexGYJIqevjcGwSP5Yeh3L2mv5ybP3U1hTY3SYbuGagVLso5sYz8S1pP5U26DPlh59kYzAzzNmtbG7pourlqX63PTBqTYvTmZwbJJjJq2Dj0xM8snfVfCQyuW2qjfY87NP8NZ//wMHf/Rxfvr0d+iITuT2v/m/nMopNjpUt6hsHSA3MZKY8BCjQ/GIpeeW1EsZxZskgZ/nreouRiZsfMCH698umwodLQDedq4oNZMxq427frWPN0938p0birj/jV+QOeiI04LmxlNv8/gj/0aw3cY9/dn0Dk8YHPHCVbX63wrM8yVFh5EaEyY7QnmZJPDzPHukhYTIEDYv9s3pg+dLig5jWUYsu6vNlcDtds0X/3SEgw29/PjOMu68bAm88IJjymCUc350VBQFk4P8/Jps2ofG+Y9nTxgb9AINj09S3z3st/Vvl6VyIdPrJIE7jUxM8mplO9evyvCdudMz2LI4iQNnexmdMM8S55/srOH5o63cd10xN67OcBzcsgVaWuDBB2H7dsdtSwulN1/Bv1xVxJ+PtLDzZIexgS/AybZBtMZvZ6C4LMuIpbp9iEmb3ehQAoZ/ZCo3eLWqg1GrjQ+WZBodittsXpzMhM1umlWZFfU9/PDV02wrzeRTly16/zejo+Gee+A733HcRkcD8KnLCylIjuJbz1f6bGJwbeLgbz1QpipOj2HCZqeua9joUAKGJHCnPx9pIS02zGd235mN9QWJhAZZeKu60+hQGByz8vkdh8lKiOBb21bO+iJxaLCF+64rprZzmOePtXo4Ss+oah0gNjyYrPgIo0PxKNeS+ipZ0OM1ksCBrqFxdp3q4ObVmaadcjcfkaHBXLIokddNUH64/8WTtPSN8sM7Suc8E+Oa5WksTo3moTdqfXLvxcoWxwpMX5/ZNJPC1CiCLUqW1HuRJHBw9g3R3HlJrtGhuN1Vxamc6Rym3sCPtUeb+nhkbwN3b8pnbd7cP+FYLIp7L1tEVesAb5rsouxMbHbNqbZBv69/g2NDkcKUaFlS70UBn8Btds3/7G1gU2EShSnRRofjdlcVO1aUGjUKt9k1//70cVKiw/jC1Uvm/TzbSrNIjw3nv98448boPK++e5hRq83vZ6C4FGfEyAjciwI+ge861UFz3yh/syHP6FA8Ii8pisWp0YYl8D/ua+BoUz9fvXHZghaxhAZbuGtjHnvOdNPQPeLGCD2rys92oZ9JcXosLf1j9I9YjQ4lIAR8Av/N2/WkxoRx9XLfX7xzIVuLU9lb183gmHd/qbqGxnngxZNsXJTkltk9Hy7LQil4/GCTG6LzjsqWAYItiqI0//t0Nx3XTJtKGYV7RUAn8H11Peyu6eKTly7ym7nf09m6LA2rTbPrlHdno3z3LycZtdr41rYVbrmAlxEXwZbFyTxxoAm73TcuZla1DrA4NZqw4CCjQ/GKFZlxgGNTFOF5/pu1ZuEHr5wmJSbMb8snLmvzEkiJCeO5oy1ee8399T08fqCJf7h0EYtT3Tf/+fbyHJr7Rnm3ttttz+lJ/toD/EJSYsJIiw3jRIuMwL1hxgSulApXSu1TSh1RSp1QSn3DebxAKbVXKVWtlNqhlAr1fLjus6emi3dqu/nMFYVEhPr36CjIorhxVQY7T3V6pYwyabPztaePkxUfwWevWuzW575meRox4cE8cbDZrc/rCd1D47QPjAdM/dtlZWac72wm4uNmMwIfB67SWpcApcB1SqkNwP3AD7TWRUAvcI/nwnSvMauNf3cmmDvX+9/UwencXJLJxKSdVyrbPf5av91Tz8m2Qb5203IiQ93bsTg8JIirl6fxalU7VpOvzHQ1dgqkETjAiqw4znQOMTIxaXQofm/GBK4dXNuihDj/aeAq4HHn8YeBbR6J0AN++Go1tV3DfPfWVYSH+Pfo26UsN56s+Aj+fMSzZZS2/jF+8MpprlyawrUrPHNh+LoV6fSPWtlba44WARdSFSBL6KdamRmLXSOdCb1gVjVwpVSQUuow0AG8ApwB+rTWrj+xTUDWBX72XqVUhVKqorPT+CXd++t7+PmbZ/hIeTaXFqUYHY7XKKW4aXUGb1V30TXkuV1T/s/zlVjtmq9/0D0XLqdz2ZIUIkKCePGEuZfWV7YOkBYbRlJ0YG1wsDJLLmR6y6wSuNbaprUuBbKB9cCy6R52gZ/9uda6XGtdnpJibMKs7RziH39/gPykKL5643JDYzHCbWuzmbRrHj/gmWl4u6u7eO5oK5+5opC8pCiPvAY4yihXFqfw0ol2U89GqWodCLj6N0BGXDiJUaGcaJYLmZ42p1koWus+YBewAYhXSrkKnNmA96Y4zENlywB3/uJdAH5xdzlxEf65M8rFFKXFsL4gkf/Z2+D2xDdmtfHVp4+RnxTJP15e6Nbnns61K9LpHBznQIM5N24en7RR0zEUcPVvcHzaW5EZy3EZgXvcbGahpCil4p1fRwAfAKqAncBtzofdDTzjqSAXYnzSxo9eq2bbz97GohT/88kNfrlkfrY+fkkuDT0j7HbzTj0/fLWas90jfPvD3rmucGVxKsEWxWtVxjfqmk51+xCTdh0QPVCmsyIzjtPtg4xPmqcXvT+azRSBDOBhpVQQjoT/mNb6OaVUJfCoUur/AIeAX3kwzlnTWtMxOE5l6wB7arp46lAzXUMT3FySyX/ctDzgN1y9bmU6SVGh/P7ds1y2xD0lrRMt/fzirVo+Up7NpkLv7GYUGx7C2rwEdp3qYPv15ts3870e4IGZwFdmxWK1aarbh87VxIX7zZjAtdZHgTXTHK/FUQ831OCYlXdrezhwtpfjzf1UtQ7Q7dxDMdii2Loslbs35rPJD7ZJc4ew4CDuXJ/LT3fVcKpt8NxmtPM1abOz/YljJESG8r9umO7SiOdcsTSV+188SVv/GOlx4V597ZlUtQ4QERJEvgevBZjZSueKzOPN/ZLAPci9k3S9qKZjiJ/trOGF462MWe2EBCmWpMWwdVkqyzJiWZ4Ry7LMWGL9dBfwhbhnSwG/3VPPj16r5qcfL1vQc/105xHV7iEAABgFSURBVBmONffz04+VER/p3bVcVyxN4f4XT/Lm6U4+si7Hq689k8qWAZamx/hVf/m5yE2MJCYsWOrgHuZzCXzSZufB16p56I0zhAUHcWtZNh8syaQkJz5g5nQvVEJUKJ/YlM9Pdtbw2baBczupzFVFfQ8PvnaaD63Jem9/Sy8qTo8hPTacXac7TJXAtdZUtQ5wkx9tzzdXFotiWWYsx2Umikf5VC+UMauNT/3+AD9+vYabV2ey68tX8J8fWsUli5Ikec/RP1xaQHRYMN9+4eS8drnpHhrnc486tkj75i0rPBDhzJRSXL4khbequ0y1X2Zz3ygDY5MBW/92KcmOo7J1gIlJ8/zf+BufSeDjkzbu/vU+Xj/Vwbe2reT7d5SSHGALJNwpPjKUL16zhDdPd/LkHPuKTEza+fQfDtI1NM5P7ixbUJ/vhbpiaQqDY5McbuwzLIapKlsCqwf4hZTmJDAxaedkm4zCPcVnEvg3/1zJ3roevv+REu7y8+6B3nL3xnzW5iXwzecq6RgYm9XP2Oya7U8cZV99Dw/ctpqSnHgPR3lxGxYloRS8c8Y83QlPtAygVOAtoZ+qJMdx8dJMf1z9jU8k8Mf2N/LI3gb+8fJCPrQm2+hw/IbForj/1tWMT9r49CMHGbNefM6uza758p+O8OShZr5w9RJuKZ22e4JXJUSFsjwjlj0mSuCVrQMUJEe5vZGXr8mKjyA5OkwSuAeZPoFrrdl1uoMti5P50jXz31NRTG9xajTfu72UA2d7+eTvKi7YbrZjcIy/++3+c8n7X7YWeTnSC9tUmMSBht4Z/wB5S2XLwLmNDQKZUorSnHhJ4B5k+gSulOInd5bx0F1rCfbjXXOMdOPqDB64bTV7znRz049385djredatfaPWPndO/Vc/8O32Fvbzbc/tMpUyRtgU2EyE5N2Dpw1fll938gEzX2jrAjQFZhTlebEUds5TP+o7JHpCT7xGc9iUUSH+USoPusj5TnkJUbylSeP8elHDhIaZCE2IoTu4XG0duzq850Pr2JJmvnquusKEgmyKPac6WKzwQu2KgNsE+OZlOYkAHC0qS+gun96i2RFcc4li5J46V8v483Tneyt62Fg1EpGXASXL02hJDvOY+1hFyo6LJiS7DhT1MHPzUCRETgAq7IdpaQjjYGbwBt7Rvjey6e47/piMuIi3PrcksDF+4QEWdi6LI2tyzyzGYOnbCpM5r/eOMPgmNXQaY2VLY4e4DLF1SEuIoTClKiAroP/4NXT/OV4G/d5oGePFJWFX9hUmITNrtlfb+wuPSfkAuZfKcmJ53Bj/7wWjPm66vZBnjrUzCc25bt99A2SwIWfKMtLIDTYwp4a48ooY1YbNZ1DUv+eYk1OPF1D4zT3jRoditf9+PUaIkOCPNYjXxK48AvhIUGszU3gbQPr4KfbB7HZtcxAmcJ1ITPQyii1nUM8d7SFv9mYR0KUZxq9SQIXfmPDoiROtg3QP2LMlDW5gDm9pekxhIdYOHg2sBL4z3adITTYwicvXeSx15AELvzGhkWJaA37DKqDn2gZICYsmJyESENe36xCgy2U5sQbfn3Cm1r7R3n6UDN3rs/16AVtSeDCb5TkxBMabOHdWmPKKJWtAyzLiMUSoD3AL2Z9fiInWvoZGp80OhSv+P07Z7Frzd9vLvDo60gCF34jPCSIstx49tZ5P4Hb7I4e4FI+md66gkTsGg6aYLWsp41ZbfxxXwNXL08jJ9Gzn8YkgQu/cklBEidaBry+dPts9zAjEzZJ4BdQlptAkEUFRBnlmcPN9I5Y+cQmz46+QRK48DMbFiWhtWO3IG864byAKTNQphcVFsyKzFj21fl3Atda85u36ylOj2HDokSPv54kcOFX1uTGExrk/Tp4ZesAIUGKolTz9Yoxi3X5iRxq7GN80hxdIz3hndpuTrYN8vebC7zSekISuPAr4SFBlObGs9fLI73jzf0UpcYQGiy/UheyLj+RiUk7x5r8d6Pj3+05S0JkCB8s9c5+qPJuE35nQ0Eix5v7GbhAb3N301pzrLmf1dmyhP5i1uU7FvQYNc3T0zoHx3m1qp3by3O8tkevJHDhdzYsSsKu4UC9d2Y8NPSM0DdiNXx7ObNLig6jMCWK/X5aB3/yYBOTds1HynO89pqSwIXfWZObQEiQ8lod3LVEvCRbEvhM1uUnUnG2F5vdvxpbaa3Zsb+RdfkJLE6N9trrSgIXficiNIjSnHje9dJI72hTP+EhFpakee8X11ddsiiRwbFJqlr9a6f6/fW91HYNc8e6XK++riRw4ZcuKUjieLN3Vv4daexjZWacbPk3C5sKHTsmvV3TZXAk7vXo/gZiwoK5YVW6V19X3nHCL21Y5OgP7un54JM2O8db+lkt5ZNZSYsNpyg1mt1+lMAHxqy8cKyVD5ZmEhnq3T1yJIELv1SWF0+wRfFurWcT+On2IcasdkpyZAbKbG1enMz++h6/mQ/+3JFWxqx27ljnvYuXLpLAhV+KDA2mJMfzfVGONMkFzLnavDiZMavdb9rLPn2omcWp0azK8v4f8RkTuFIqRym1UylVpZQ6oZT6nPN4olLqFaVUtfM2wfPhCjF7lxQkcrSpn2EP1sGPNvURFxFCXpK0kJ2tSxYlEmRRflEHb+wZYV99Dx9ak2XIpt+zGYFPAl/UWi8DNgD/pJRaDmwHXtNaFwGvOe8LYRquOvgBD3bAO9zoWMBjxC+vr4oND6EkO463/CCBP3O4GYAPlnhn5eVUMyZwrXWr1vqg8+tBoArIAm4BHnY+7GFgm6eCFGI+1uY5OuB5aj746ISN0+2DlMoCnjm7tCiFo0199AxPGB3KvGmteepQM+sLEj3eNvZC5lQDV0rlA2uAvUCa1roVHEkeSL3Az9yrlKpQSlV0dnYuLFoh5iAqLJjV2XEe64tyoqUfm13LDJR5uKo4Fa3hzdO+mxOONw9wpnOYD63JMiyGWSdwpVQ08ATwea31rGfha61/rrUu11qXp6SkzCdGIebtkoIkjjT2MTLh/jr4oQbnBUyZgTJnq7LiSI4OZeepDqNDmbenDjUTGmThhpUZhsUwqwSulArBkbwf0Vo/6TzcrpTKcH4/A/Dd/wnhtzYsSmTSrj0y42FffQ/5SZGkxoS7/bn9ncWiuHxJKm+c7vTJZfWTNjvPHmlh67JU4iJDDItjNrNQFPAroEpr/f3zvvUscLfz67uBZ9wfnhALU56f6JE6uNaORULl+Z5v2u+vrixOoW/EyuFG39tmbXdNF11D42wzsHwCsxuBbwbuAq5SSh12/rsB+C5wtVKqGrjaeV8IU4kOC2ZlVpzb54Of6Ryid8TKekng83ZpUQpBFsXrJ33vw/vTh5qJiwjhiqXGloVnXPeptd4NXGiO1Fb3hiOE+20oSOTXb9cxMjHptqXO+52tasvzZfnDfMVFhLAuP4FXKtv58rXFRocza8Pjk7x0op0PlWURFuydvt8XIisxhd/bUpSM1abdWkbZX9dDcnQoBclRbnvOQHTtinROtw9R2zlkdCiz9tKJNkatNj5scPkEJIGLALAuP5HwEAtvnnbfwpH9Z3soz0uUBTwLdO0KR/e+l060GxzJ7D11qJnshAjW5hn/6UsSuPB74SFBbFiU5LY5x639ozT2jEr5xA0y4yMoyY7jxRNtRocyKx0DY7xd02XY0vmpJIGLgHBZUQq1XcM09ows+Ll2VztG8q7e1mJhrl2ZzpHGPlr7R40OZUbPHmnBrjF89omLJHAREC5b4pgt8Gb1wkfhu2u6SI4Oozg9ZsHPJd4ro/zlmPlH4U8ebGZ1dhyFKebYfUkSuAgIhSlRZMVH8MaphSVwu12zu7qLS4uSsViM/wjtDwpTolmeEcuzR1qMDuWiTrUNUtk6YOjS+akkgYuAoJTiyuIU3qruYsw6/40EKlsH6B6eYMtiKZ+40y2lmRxu7ONs97DRoVzQU4eaCbIobjao8+B0JIGLgHHN8nRGrTbeqp7/bBTXVmCXFkkCdydXUnz2sDlH4Xa75pnDzVy+JIXk6DCjwzlHErgIGBsWJRETHszLC5jx8FZ1J8XpMaTGSv8Td8qMj2B9QSJPH25Ga/P1Rnm3tpvW/jFTlU9AErgIIKHBFrYWp/JqVTuTNvucf75/1Mq+up5zF0SFe91SmsmZzmGON8+62anXPHmomeiwYK5enmZ0KO8jCVwElGtXpNM7Yj23FH4uXq1sx2rTXLcy3QORiZtWZRIabOGxikajQ3mf0QkbLx5v4/qV6YSHGLt0fipJ4CKgXL40hbBgCy8ca53zz/7leCuZceGskR14PCIuMoTrV6bz9OHmBV1odrdXqtoZGp/kQ2XmKp+AJHARYCJDg7l2RTrPHmmZU5IYGLPy5ukurl+VYYoVeP7qjnU5DI5N8uJx88wJf+pgE5lx4WwoSDI6lL8iCVwEnI+U59A/auWVytn333i9qoMJm50bVkn5xJM2FCSRmxjJjv3mKKN0Do7zZnUXt6zJMuW8f0ngIuBsKkwiKz5iTrXWZ4+0kB4bzpoc6X/iSRaL4o51ObxT201Nh/EdCp882ITNrrm1LNvoUKYlCVwEHItFcevabHbXdNHcN3P/jZa+UXad6uDWteYchfmbO9blEBpk4Xfv1Bsah9aaHfsbWZefwOJUcyydn0oSuAhIt6/NRsGsksSj+xrQwEfX5Xo4KgGQHB3GTSUZPH6giYExq2Fx7K/vpbZrmDtM/P8uCVwEpJzESK5flcH/vNtA/+iFk8Tw+CQPv3OWrcVp5CRGejHCwPaJTfmMTNh4vKLJsBge3ddATFiwqa97SAIXAeszVxQyOD7JQ2+cueBjfvfOWfpHrXzmykIvRiZWZ8dTlhvPb/bUzWvR1UL1j1p5/lgrHyzNdNs2fJ4gCVwErBWZcWwrzeTXu+um3dKrY3CMn+6s4ariVMpy5eKlt33q8kIae0Z5fh5z9hfq2cPNjE/aTV82kwQuAtpXblhGeEgQ/7rj8Pvmhdvsmi8+doQJm51/v3GZgREGrquXpbE4NZr/2nXGq/1RtNY8sreB5RmxrMyK9drrzockcBHQ0mLDuf/W1Rxt7ueeh/fT0jdKz/AE//LoId6q7uLrN69gkUma9wcai0Xxj5cXcrJtkJ2nOrz2uvvqejjZNshdG/NMv2hLErgIeNetTOeBW1ezv76XTd99nbJvvcILx1rZfn0xH7vE3B+h/d0tpZlkxUfww1ervTYK/83b9cRHhrCt1HxL56cyb3VeCC+6vTyH9QWJvHCsjUmbnWtXprMkTbZMM1pIkIXPbS3i3544ysuV7ee2X/OUpt4RXq5s497LCokINVfjqulIAhfCKS8pik9fIbNNzObDZVk89MYZvv/yaT6wLI0gDy6m+t07ZwG4a2Oex17DnaSEIoQwteAgC5+/egmn2gd56lCzx16nd3iCR949y42rHWUbXyAJXAhhejetyqAkJ54HXjzJ0PikR17jN3vqGZ6w8c9XLvbI83uCJHAhhOlZLIr/ffNyOgbH+dnOGrc//+CYld++XcfVy9NYmu471z4kgQshfEJZbgIfXpPFL9+qc3unwl/vrmdgbNKnRt8gCVwI4UO231BMRGgQ2584it3unmmFHQNj/PebZ7h+ZTolPrbb0owJXCn1a6VUh1Lq+HnHEpVSryilqp23ss5YCOFxqTHh/MdNy6k428vv3z3rluf8waunmZi0c991xW55Pm+azQj8t8B1U45tB17TWhcBrznvCyGEx324LIvLl6Tw7ReqONm2sB3sjzT2sWN/I3dtzCM/OcpNEXrPjAlca/0m0DPl8C3Aw86vHwa2uTkuIYSYllKK/3d7CbERIfzTIwcZnueslDGrjS/96QipMeF8/gNL3Byld8y3Bp6mtW4FcN6mXuiBSql7lVIVSqmKzs7Oeb6cEEK8JyUmjAc/Wkpd1zBffOwItnnUw3/4ajXVHUN859ZVxEWEeCBKz/P4RUyt9c+11uVa6/KUlBRPv5wQIkBsKkzmqzcu58UTbXzjzyfm1Cvl+aOtPPTGGT66Locrl15w/Gl6811K366UytBatyqlMgDvtQoTQgine7YU0D4wxs/frMWiFF+7afmMS+0PnO3lXx87THleAl//4AovReoZ803gzwJ3A9913j7jtoiEEGIOtl9XjM2u+dXuOpr7Rrn/1tUkRoVO+9idpzr450cOkhEXzn/ftZbwEPM3rLqY2Uwj/CPwDrBUKdWklLoHR+K+WilVDVztvC+EEF5nsThG3v/75uXsPNnBVd/bxcN76t+3IXJt5xDbnzjK3/1mPzmJkTz2qY0kRYcZGLV7KG/udFFeXq4rKiq89npCiMByqm2Qrz1znH11PVgUZCVEMGa10zk4TrBF8YlN+Xzp2qU+N/JWSh3QWpdPPS7tZIUQfmNpegw77t3A4cY+dp7qpKF7mJAgC8szY7lxVQapseFGh+hWksCFEH5FKcWa3ATWBMBG1NILRQghfJQkcCGE8FGSwIUQwkdJAhdCCB8lCVwIIXyUJHAhhPBRksCFEMJHSQIXQggf5dWl9EqpTmC++yAlA11uDMfTfC1e8L2YJV7Pkng9b7Yx52mt/6oft1cT+EIopSqm6wVgVr4WL/hezBKvZ0m8nrfQmKWEIoQQPkoSuBBC+ChfSuA/NzqAOfK1eMH3YpZ4PUvi9bwFxewzNXAhhBDv50sjcCGEEOeRBC6EED7KJxK4Uuo6pdQppVSNUmq70fFMRylVr5Q6ppQ6rJSqcB5LVEq9opSqdt4a1mFeKfVrpVSHUur4ecemjU85/Mh5vo8qpcpMEu/XlVLNznN8WCl1w3nf+4oz3lNKqWsNiDdHKbVTKVWllDqhlPqc87gpz/FF4jXzOQ5XSu1TSh1xxvwN5/ECpdRe5zneoZQKdR4Pc96vcX4/3yTx/lYpVXfeOS51Hp/7e0Jrbep/QBBwBlgEhAJHgOVGxzVNnPVA8pRjDwDbnV9vB+43ML7LgDLg+EzxATcAfwEUsAHYa5J4vw58aZrHLne+L8KAAuf7JcjL8WYAZc6vY4DTzrhMeY4vEq+Zz7ECop1fhwB7nefuMeCjzuMPAZ92fv0Z4CHn1x8Fdpgk3t8Ct03z+Dm/J3xhBL4eqNFa12qtJ4BHgVsMjmm2bgEedn79MLDNqEC01m8CPVMOXyi+W4DfaYd3gXilVIZ3InW4QLwXcgvwqNZ6XGtdB9TgeN94jda6VWt90Pn1IFAFZGHSc3yReC/EDOdYa62HnHdDnP80cBXwuPP41HPsOvePA1uVUspL4V4s3guZ83vCFxJ4FtB43v0mLv5GM4oGXlZKHVBK3es8lqa1bgXHLwyQalh007tQfGY+5//s/Hj56/NKUqaK1/lRfQ2OEZfpz/GUeMHE51gpFaSUOgx0AK/g+CTQp7WenCauczE7v98PJBkZr9badY7/03mOf6CUCpsar9OM59gXEvh0fzHNOPdxs9a6DLge+Cel1GVGB7QAZj3n/wUUAqVAK/A953HTxKuUigaeAD6vtR642EOnOeb1mKeJ19TnWGtt01qXAtk4PgEsm+5hzlvDY54ar1JqJfAVoBhYByQC9zkfPud4fSGBNwE5593PBloMiuWCtNYtztsO4Ckcb65210cg522HcRFO60LxmfKca63bnb8QduAXvPcR3hTxKqVCcCTDR7TWTzoPm/YcTxev2c+xi9a6D9iFo1Ycr5QKniauczE7vx/H7MtybnVevNc5y1daaz0O/IYFnGNfSOD7gSLnleZQHBcjnjU4pvdRSkUppWJcXwPXAMdxxHm382F3A88YE+EFXSi+Z4G/dV4V3wD0u8oARppSD/wQjnMMjng/6px1UAAUAfu8HJsCfgVUaa2/f963THmOLxSvyc9xilIq3vl1BPABHLX7ncBtzodNPceuc38b8Lp2Xi00MN6T5/1BVzjq9eef47m9J7x5VXa+/3BcnT2No971VaPjmSa+RTiu0B8BTrhixFFvew2odt4mGhjjH3F8JLbi+Et/z4Xiw/FR7qfO830MKDdJvL93xnPU+WbPOO/xX3XGewq43oB4t+D4uHsUOOz8d4NZz/FF4jXzOV4NHHLGdhz4D+fxRTj+mNQAfwLCnMfDnfdrnN9fZJJ4X3ee4+PAH3hvpsqc3xOylF4IIXyUL5RQhBBCTEMSuBBC+ChJ4EII4aMkgQshhI+SBC6EED5KErgQQvgoSeBCCOGj/j/xbn3rn4YbLwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([f(i) for i in idx])\n",
    "for lc in locate:\n",
    "    plt.scatter(lc, f(lc), s=50, c='red', marker='o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1bbea7bf948>]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(lengths[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 512,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[170,  70]], dtype=int32)"
      ]
     },
     "execution_count": 512,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "contours[0][10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 513,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "891"
      ]
     },
     "execution_count": 513,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(lengths[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 514,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "96.53504275978588"
      ]
     },
     "execution_count": 514,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(length_leafs)/len(length_leafs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1078,
   "metadata": {},
   "outputs": [],
   "source": [
    "draw_image = x[index].copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1079,
   "metadata": {},
   "outputs": [],
   "source": [
    "def draw_redlines(np_image, locates):\n",
    "    draw_image = np_image.copy()\n",
    "    for locate in locates:\n",
    "        cv2.circle(draw_image, locate, 2, (255,0,0), -1)\n",
    "    plt.imshow(draw_image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1080,
   "metadata": {},
   "outputs": [],
   "source": [
    "locate_image = []\n",
    "for lc in locate:\n",
    "    locate_image.append(tuple(contours[-1][lc][0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MLqhhx6HgVM8E1bnOsGXhNU8/WifJNA+6dQ2faFTlOFUlygp86fdNnB1w8/V37iEvNcFoc9aEZQR8b3E6cz6/apkZAqSU1PdMhi18AlCRlUxyfAyneqJPwLUKFD3DJxqVucmMTM0xpnqivIZjneP87OVO/vqqcm6oyTHanDVjHQEvCSTXTqo4uO50jnqZnJ5nVxgSmBo2m2BXUSqnorASRatAqdKxAkVD8+pbVBhlEZ9f8rnfniEvJYFPvbHKaHPWhWUEPDclgYLUBBUHDwGaFxyOCpSl7C5O4+yAi5n56AqLtYSgAkVD8+pVIvMCD77SSWO/i8+9dTtJ8ebqsG0ZAYdAHPykKiXUnYY+F3ExNl1rktfC7qJU5n0y6jroNQcrULaGIISSn5pAUpyd81GaHL6YCe8c//bEOa7amsmtO41vTrVerCXgxWl0j01H/RZsvWnom6Q610lsiDoQrsTu4FSeaKsHbw1WoKToWIGiIYSgNDOJjhGP7s9tRn70QgeumQU+F+H13ithKQHXBr+q0VH6IaWksc/F9vzN96ReL3kpCeQ446NucHXr8FRIvG+N8qwk2pWA45qZ5ycvtPOm2tzXj0IzCZYS8NpgjbKavq0fA64Zxr3z1BaG/w0uhGBHYSoNfdEj4FJK2oY9VGQlhew1yrIcdI9PM+/zh+w1zMDPXurENbPAR2+oNNqUDWMpAU91xFKYlqhKCXVEm4puhAcOgb4o54c9UZPIHJ6aZWp2gYrsUHrgyfj8kp7x6O0d5J1b4P4j7Vxfnc3OMPT3CRWWEnAIjI5qjCKPLdQ09rsQAmoMFHCfX3J2IDrK3tqHA6GN8hB64OVZDoCojoM/fKyHMc8cH7txq9GmbArLCXhtQQptIx68cwtGm2IJGvtclGUmkWxQeZU2jSZawihabDqUAl6WmfSa14o2pJT84tVudhSmsL80NMO5w4XlBHx7fgpSEjUeW6hp6J80LHwCUJSeSEpCTNSExdpHPMTF2ChISwzZa2QkxeFMiIlaAa/vmaSp38Vdl5UYbcqmsZyA1xZqHlt0fOBDyeT0PN1j04sTzY1ACMH2gpSoOZ9tIx7KMh0hnXQuhKA8K4mO0egU8F++2kVirJ237y4w2pRNYzkBL0hNIDUxVpUS6sDZYDWPkQIOsD0/lbP9LhaioGqifcQT0vCJRllmdJYSTs0u8OipPt62O1/XTo9GYTkBF0KwPV8lMvVA83prDQyhQCCvMbvgt7zg+PySzlEP5Vmh3/FanpVE38R01HXvfPRkH945H++yQPgE1iDgQohiIcTTQogmIUSDEOLjweNfEEL0CiFOBn9uDb25a6O2IIWzA+6o8NhCSWO/i6zkeHJSjG2tqdWgWz2M0jPuZd4nQ1oDrlGelYRfQveYN+SvFUn89kQvlTnJ7C0Ob1+fULEWD3wB+JSUchtwCLhXCLE9+LdvSCn3BH8Oh8zKdbI96LG1WdxjCzWNfS7DwycAW7KTiYuxWb4SRXu/VmSHIYSSpVWiRI+AD7lmONo5xlt3FZhy2/xyrCrgUsp+KeXx4O9uoAkoDLVhm0ErPVNx8I0zt+CnZchtaAWKRqzdRk2e0/IeeDhqwDXKF0sJo6ep1R8aBpASUzatWol1xcCFEGXAXuCV4KGPCiHqhRA/EkKk62zbhinPSiLWLjineh5vmJYhN/M+SW0EeOAQCIs19LmQ0rozMttHPKQkxJCRFBfy10p1xJLuiI0qD/zw6X625iSHpE2vUaxZwIUQycDDwCeklC7ge8AWYA/QD3xthcd9WAhRJ4SoGx4e1sHk1YmLsVGRlcw5VQu+YbSrl0gIoQBsL0hlcnqe3gnrbv9uH/FQnp0ctsv7sqzo6Uo47J7l1fYxbt2Zb7QpurImARdCxBIQ7wellI8ASCkHpZQ+KaUfuA+4bLnHSil/IKU8IKU8kJ2drZfdq1Kd51QCvgka+lw44uyLu/aMRrsSsHIYpX0ktE2sLqYsM4muKEliPtEwgN9i4RNYWxWKAO4HmqSUX19yfOlX2R3AGf3N2zjVeU56J6Zxz8wbbYopaex3UZPnDOmGkvWwLS8Fm7BuXmNm3kfvxHRYvzCL0xPpn4yOroSPn+mnIiuJaguFT2BtHvhVwPuAGy8qGfyqEOK0EKIeuAH4H6E0dL1UBU9U82D0JGn0QkpJU4RUoGgkxtmpyE62rAeulfOVBRtNhYPiDAd+CX0WDktBoO/3K21jvLE2zzLVJxqrdiiSUh4Bllt1xJQNLkdNnibgbvaXRkx+1RR0j03jnl1YrOaJFGoLUjjaPma0GSGhYzQg4CUZ4RNw7bW6xryURkioLBS82DrKgl9yfXX4QrjhwnI7MTUK0xJxxNlVHHwDNPYH6q0joYRwKbUFKfRNzjDumTPaFN3pDPYlCaeQFi8RcCvzXMswyfEx7CuxniNnWQG32QSVuU6aVSnhumnsc2G3CarzIiteqI29smJ5aNeYF2d8DOmO8PXnyE1JIM5us7SASyl59twwV27JJC7GenJnvRUtoSZXVaJshIY+F1uyk0iItRttymvQwmJnLTgyr3PUS0mmI6wxWrtNUJSeSM+YdWPg54c99E5Mc50FwydgcQGvynMy6plTU+rXSWO/MUOMVyPbGU+6I9ayHnhpZvji3xrFGQ5Le+DPNQf2nlxbqQTcdGglQ83KC18zY545+idnIqoCRUMIQU1eCk391jqfgfmUXkoywp9ILM5ItLSAP9s8TEV20mK832pYW8C1S24l4GtGq7OOtAoUjeq8QF7D77fOlvq+iWnmfZIyAzzwkgwHk9PzTE5bb7/EzLyPl9tGua7Kmt43WFzAs5LjyEiKU4nMdaBVoGyLwBAKwLZ8J945H93j1vEaNQ+4xCABB2u2lT3eOc7sgp9rKrOMNiVkWFrAhRBU5SZbMmYaKhr7XOSnJoSlodJGqA5WoljpqqozWANuRC12sYUF/OX2MWwCDpaZe3DxpbC0gEOg9Kx5wFqX3KGkoc8VMR0Il6MqNxkh4KyF4uCdYx7i7DbyDBicYeVa8FfbR6ktSLXE6LSVsLyAV+U68cz5LN3FTi9m5n2cH56KyAoUDUdcDKUZDs4NWqeUsGvUS1FGoiF9Z1ISYklzxFoqJAUwu+DjRNcEl5Vb1/uGKBDw6rzAfEEVB1+dswNu/DLQujWSqc5zWi6EUmpglURJhoMui9WC1/dMMrvg53Il4OZGa2plpQ98qNBGlkVyCAUCYbGOEQ8z8+YfyCulNLwXSXG6w3Ix8FfaRgFrx78hCgTcmRBLYVqi8sDXQEOfi5SEGIrSE4025ZLU5DnxS2ixQKfJMc8cU7MLYW1idTHFGQ56xr34LJQneqV9jJo8J+kRmozXC8sLOAQSX2pL/eo0BFvIRnrLzZpgjL5pwPxx8M4xrQLF2BDKvE8y6JoxzAY9mff5OdY5bvn4N0SJgFfnpdA27ImKxvUbZcHn52y/K2I38CylJMNBQqzNEl/KXaORIeBgnUqUhj4X3jmfEnCrUJ2XzJzPHzXz/zZC+4iH2QV/xMe/IdCEqSrXyVkreOCjXoSAonQjQyiBkJlVBFzrGa8E3CJoiUy1oWdlGiJ8C/3F1Fhk5mnnmIe8lARDOz8WpCViE9bZzHOie5zijERynOGvqw83USHgW7KTsduEamp1CRr6JomLsVGRbY7JLNV5KYxMzTHsNnenya5Rr6EJTIBYu42CtETrCHjXBHuLrTe8YTmiQsATYu2UZTpUKeElaOgLDDGOtZvjLbEt2KjM7F54p0FtZC+mON0abWUHJmfon5xhT3Ga0aaEBXN8WnVA62KneD1SyojfQn8xFzpNmjcO7pldYNg9GxHzKK2ymedk9zgAe0uUgFuKqlwnnWNepufMv/lDb3onppmcno/4HZhLyUyOJys53tRXVYtdCCOgV3VJpoORqVm8cwtGm7IpTnRNEGe3RWQ/+1AQNQJek+dESmgZMu8HPlRcSGCa602/Ld/ciczOCCgh1NA2b3Wb3As/0TVBbWEK8TGRNQ4wVESNgC9Wopj4Ax8qGvtc2ARsyzOXgFcHh1abdQdh11hwEr0Bk3guRutK2GPiplbzPj/1vdGTwIQoEvDSzCTiY2wqDr4MDX0uyrOSSIwzl9dSk5/C7IKfjlFz1vd3jnpJTYwlNYyT6FeiON38fcHPDbiZmfezJ0ri3xBFAm63CSpzk00dMw0VjX2Tpqn/XsqFKfXmPKddY15DxqgtR1ZyHImxdrrHzRtCOdE9AcDeKKlAgSgScAiEUZQH/lrGPXP0Tc6YLv4NsDUnGZuAcyatROkc9VISARUoEJheVZRu7lrwE13jZCXHR3wzNj2JKgGvznUy6JplwjtntCkRg9l2YC4lIdZOeVaSKa+q5n1+eiemDe0DfjFF6Yn0mNgDP90zye6i1IhvxqYnqwq4EKJYCPG0EKJJCNEghPh48HiGEOJJIURL8DbiMwdVwUvuZgu0IdULrQe4WcuuavJSTNkioW9iGp9fGjLIeCWKMxymnczjmV2gdXiKHYXmc0Q2w1o88AXgU1LKbcAh4F4hxHbgM8BTUspK4KngvyOamsXde+a85A4F9T2TFKUnRuwQ49WoznPSOerFM2uu+uXFEsII8sCL0x24ZxaY9M4bbcq6aex3ISXsVAL+WqSU/VLK48Hf3UATUAjcBjwQvNsDwO2hMlIv8lIScCbEmNJjCxWneibYXWTepE/14lWVuc7phT7gkREDhwtdCc3ohZ/uCVxJ7ixSAr4iQogyYC/wCpArpeyHgMgDOSs85sNCiDohRN3w8PDmrN0kQohA7fCACqEAjE7N0jM+beo3fY1Je6J0jXqIj7GR44w32pRFtJa2ZqwFP9M7SbYzntwU63cgXMqaBVwIkQw8DHxCSrnmGISU8gdSygNSygPZ2dkbsVFXAgNxXUhpzs0felLfG/BadplYwIvTHTji7KZLZHYGuxDaDJhEvxIXasHNl8g83TsZdeETWKOACyFiCYj3g1LKR4KHB4UQ+cG/5wNDoTFRX6rznLhmFhh0mbsNqR7Ud08ihLnjhjaboDLXfFvquyKkC+FSUh2xOBNiTBdC8c4tcH54ytTv442ylioUAdwPNEkpv77kT48Cdwd/vxv4nf7m6Y8a7nCB+p4JKrKScCYYvxNwM9TkOjk36DbNVZU2ib4kArbQX4wZJ9Q39rnwR2ECE9bmgV8FvA+4UQhxMvhzK/CvwM1CiBbg5uC/I57qXFWJAgERqe+dNHUCU6M6z8mYZ47hKXNcVQ1PzeKd80WcBw6BRKbZasFP90ZnAhMgZrU7SCmPACsF6t6grzmhJz0pjhxnPOeiPJE54Jph2D1r6vi3xtJEphnGaGmDjCOpBlyjKN3Bc80jSClNsyHmdJQmMCHKdmJqqOEOcKo7mMC0QN+IapNVokRiDbhGcXoi0/M+RqbMs1v5TJQmMCFKBbwq10nLkHnbkOpBfc8EMTbB9nxz7sBcSmZyPNlO8wx36BzzYjN4Ev1KaG1lzZLInJn30To0xQ6T7iTeLFEp4NV5Tmbm/ZaYAbhRTvVMUJ3nNHQaup7UBMtDzUDXqIf81ETiYiLv43ehL7g54uDNg278ErZZwBHZCJH3DgoDWiLzbL85PvB6s+Dzc6Jrgv2lEd++Zs1U5zppGZwyxVVVx6iXsqzI874BCtO0yTzmcG60VsI1SsCjh+o8J3abWOzEF22cHXDjnfNxoCzDaFN0ozrPaZrhDp2jnojaQr+UpPgYMpPiTLMbs2nARWKsPSLzCeEgKgU8IdbO1uzkxU580UZdxxgAByzkgdcEx8FFeiJzcnqece98xAxyWI6iDIdpdmM29buoznNG1I7WcBKVAg6BAb7R6oEf7RynIDWBgjTrNL6vzA0Md4j0RGbXaOQ1sbqY4vREUyQxpZScHXBHbfwboljAtxekMOSeZdhtjs0feiGl5FjHOPstFD6BwFVVWWZSxG/Q0kI8ZZEs4BmOxX7lkcyAa4YJ7zzb8p1Gm2IYUSvg2gSaaAuj9E5MM+CasVT4RKM6L/J7onQGBbwkgmO2RemJzPskg64Zo025JFoCU3ngUYg2gSbawijHOscBOFBmTQHvHPPinYvc4Q4do15yU+JJjIvc8k2zTKhvDKEFxjgAABt3SURBVFaRaRu5opGoFfDUxFiKMxJpjDIBr+sYJzk+ZjHpZyVq8pxICS0RPDIvkitQNC5s5onsRObZATdF6YmkmLwZ22aIWgEHqM1PjboQytGOMfaWpGG3YNbeDJUoHaPeiK5AAShIS0CIyB/s0NTvsqQjsh6iW8ALUugY9eKeMd8MwI0w4Z3j3KCbA6XWSmBqlGQ4SIy10xShiUzP7ALD7tmI98DjY+zkpSREdCnhzLyPtuGpqE5gQrQLeGHg27upP3I9Nj158fwoUsLVlZlGmxISbDZBVW5yxHrgWhOrSK5A0SiK8FLClsGpqN5CrxHVAr4jyipRnm8ZxhkfY4ke4CsRyZUoXWOBCpRI7AN+McXpDnoiOImpXWXVRHECE6JcwHNSEshxxlPfY30Bl1LyfMsIV2zJJMZu3dNenZfCqGcuIuv7OxY38US+gBdlOBhwzTC34DfalGVp6g9uoTfB1Uwose4neY3sLUnjRNe40WaEnM5RLz3j01xTmWW0KSElkqfUd456yEyKM8UIu+L0RPwS+icjMw5+tt9NVbCnUTSjBLwknY5RL2Me8zSw3wjPtwwDcHVltsGWhBatJjgSW8t2jETeIOOVKIrgCfWBLfQutkd5AhOUgLM3OJHmZLe1vfDnW0YoTEuM+BK2zZKVHE9WclzEeuBmSGBCYDYmROZgh0HXLOPe+agvIQQl4OwqCtREH++cMNqUkLHg8/PS+VGurcoyzZzDzVCdF5hSH0nMzPvom5wxTcw2PzWRGJuIyFpwLYEZ7RUooAScxDg72/KdnLCwB36yewL37AJXb7V2+ESjOjeF5sHIGpmnbUuP1EEOF2O3CQrSEiMyhNKkttAvEvUCDrC3OJ1T3ZMR9YHXkycbB4m1C66psnYCU6MmAkfmdZigjezFFGdEZi342X43hWmJpCZGfjI41CgBJ1CJMjW7QOtQ5PbQ2ChSSp5oGOBQRWbU9IyoyY+8kXmdi21kzeGBAxSlReZgh6Z+V9TvwNRQAg7sKwl05jtuwXLClqEpOka9vKk2z2hTwkZljhMRYcMdOke9pCbGkuaIM9qUNVOckcjI1CzTcz6jTVlkZt5H24hHJTCDKAEnsLEi3RFryXrw39f3IwTcvD3XaFPCRmKcNtwhcgS8Y9RjmhJCDa0rYe9E5IRRWocCg6tVAjOAEnBACMG+knTqOq0l4FJKfneylysqMslNSTDanLBSnRtZlSido15Txb8hMmvBtQRmjQqhAErAF7m8IoO2YQ9DET6FZD2c6pmkY9TL7XsKjTYl7FTnOekY9UTE5f+8z0/vxLSp4t8Q2I0JkVUL3tTvJiHWZpp6+lCzqoALIX4khBgSQpxZcuwLQoheIcTJ4M+toTUz9ByqCHToe6lt1GBL9OPXx7qJi7Fxy87oiX9rLA53GDLeC+8a8+LzS9OJTrYznvgYW0RN5jk74KI6V22h11iLB/4T4JZljn9DSrkn+HNYX7PCT21BKs6EGF4Ot4C73fDDH8KnPx24desjOFOzC/zmeC9v3ZUfNdUnS6kJxkjPRkCr4LbhQAVKRba5BFwIQVF6Ij0RMplHShmsQFHxb42Y1e4gpXxOCFEWelOMxW4TXF6ewUvnwyjgR47ArbeC3w8eDyQlwSc/CYcPw9VXb+qpf3uiF8+cj/ceKtXJWHNRmuEgKc4ebBVcbKgtbcOB8tSK7GRD7dgIxRmOiKmnH3JrW+hV/FtjMzHwjwoh6oMhlhUn5AohPiyEqBNC1A0PD2/i5ULPlVuy6Bj10jUahjes2x0Qb7c7IN4QuNWOT228Jt3nl9x/pJ0dhSmLvV6iDZtNsC0/JSKGVrcNe8hKjjPlxpOSoIBLafwmNy2BqTzwC2xUwL8HbAH2AP3A11a6o5TyB1LKA1LKA9nZkb2V+/rqgH3PtoThi+ahh+hzpPN0xX6eqDzE6dwtzNmCF0R+Pzz00Iaf+vDpftpHPNx7/dao6H2yErUFKTT1u/AbvMO2bWSKiizzed8Q2Dnqnllg3Gv82EFtcpaqAb/AqiGU5ZBSDmq/CyHuA/5LN4sMpDwriZIMB8+eG+J9IQo9SCl59FQf97Ukc+YD333N35yzHt7W+BwfeeXXFLe2buj5531+vvmnZrbmJEfV5p3lqC1I5YGXOukY9Rgavmgb9pi2Dr80WAveOeohI8nYTUhnB1wUpCaQ6jDflUyo2JCACyHypZT9wX/eAZy51P3NghCC66qyefh4D7MLPuJj7Lo+/6Brhk/86iQvtY1SFZ/AP/75p+zuOEPCwiyd6fk8XXGAX++8iYd2v5F3OGf5n565dX9oHnixg/PDHu6/+wC2KM/Uby8IeGqN/S7DBHzCO8eoZ850CUwNbfNR15iXvSUrRkrDgkpgvp61lBH+EngJqBZC9Agh7gG+KoQ4LYSoB24A/keI7QwbN27LwTvn44XWEV2ft3XIzdv/3xFOdk/wL3fs5PFP3cgH6x/nYG8jOwfP89azR/ja4W/y3Pc/yPtP/5FfTyXxhq89w6+P9aw5/nh+eIqvP9nM9dXZ3FiTo6v9ZqQq10msXRgaBz+vVaCYNIRSnOFAiMAwCiOZXfBxftijNvBcxKoCLqW8S0qZL6WMlVIWSSnvl1K+T0q5U0q5S0r59iXeuOm5aksWzoQYDp8e0O05G/omufP7L+OX8Jt7r+Tdl5dgT00JVJs4nYHqE4CkJPLEHJ//7Ls4/PFr2JKdzN/95ynuuu9lzg9fOqnpmpnn3gePEx9j48t/sTOqY98acTE2tuY4DRXwCxUo5vTAE2Lt5KUk0BkcyGwULYNqC/1ybCiEYmXiYmzcvC2XJxsHmff5id3kAODWoSnefd8rJMXZefBDhyjPWvJBvvpq6OsLJCxbW2HrVrjzTkhOpgr4j7+5gofquvny4Sbe/M3n+dvrt/Dfr99CQuxrQzuDrhk+/LNjtA5Ncf8HDpKfmrgpm61EbUEKz5wbQkppyJda24iHGJtY7CtiRkoyHOGpzLoEWmMylcB8LUrAl+HNO/N55EQvz7cMc2PNxpNPE945PvjAUWJsgof+5orlP8TJyXDPPcs+3mYT3HVZCTdty+WLv2/k20+18ODLndyxt5ADZenExdg41jnOz1/uYnbBx3ffs4/rqiK70ifc1Bak8OtjPQy5Zw3pB9M2PEVJpmPTjoCRlGUm8dTZIUNtaOp3ER9je60DpFACvhzXVWWTmRTHfxzt2bCAz/v83PuL4/RNzPCLD12+KQ8s2xnPt961l3dfVsJ9z7fz05c6+eGRdgBsAm6ozuGzb9lmyo0ioaa2IBUIhLGMEXAPW0x+XkoyHYxMzeKZXSAp3hjJODvgolpNoX8dSsCXIS7Gxh17C/nJix2MTs2SmRy/7uf458caeaF1lH97x24OlGXoYtflFZlcXpGJZ3aB9hEPcz4/5ZlJpBtc3hXJaI3/G3pdm7qa2gg+v6Rz1MuN28ydUF5aiWJEDDqwhd7NzdvMWYoZSsx7XRdi7jxYzIJf8stXu9b92J+91MHPXu7kb66t4K/2F+luW1J8DDsKU9lXkq7EexWcCbGUZToMSWT2jHuZ8/nZYtIKFI3SjEDYotOgOPiwe5Yxz5yqQFkGJeArUJnr5PrqbH78Qgcz82tvSXqkZYQvPNbIG2py+J+31ITQQsVaqS1IpaF/Muyva9YmVhdTknlhM48RNGo9wFUC83UoAb8Ef3vdFkY9c/zilbV54ecG3Hzk58fYmp3Mt+7aq+J1EcL2ghS6x6aZnA7vdnCtla3ZY+CpibGkO2LpNKiplVaBouZgvh4l4Jfg8vIMrt6axTf/1Mzo1Owl7zswOcMHfvwqjng7P/5vB0k2KNmjeD21wR2ZTWEecnxuYIocZ7wlwlwlmUmGlRKe7XeRn5pgqnmi4UIJ+CUQQvD5t23HO+fjfz3asOKOyJGpWT7w41dxTc/zow8cpCBN1WFHEhcqUcIr4C1Dbqot0vq0LNNBh0EhlKZ+t2ohuwJKwFehMtfJJ99Yxe/r+/n2U62vE/GWQTfv/PeX6Bj18IP3H1gUC0XkkO2MJ8cZH+wNHh78fknL4BSVOdYQntIMB30T08wt+MP6ujPzPs4PTy32tVG8FnWdvwY+ct0WmgfcfONPzTQPuXn/oVLiYmw80TDIT15sJzk+lp/fc7lu5YIK/dlRmMrpnvAJeM/4NNPzPqrzzB3/1ijNTMIvA6WEW3PCt6aWwSkW/JLt+coxWg4l4GtACMHX37mHsqwk/v3Z8/y+/kLrl7fvLuAf37KNnCib+m42dhel8fS5IaZmF8KSnzg3GEi8VeVawwPXKmnahqfCKuCNweqhWuWBL4sS8DViswk+cVMVH7iyjGOd48z7/OwtSTdkd59i/ewuTkVKON0zyRVbMkP+es1BAa+0jIAHRLttJLxx8MY+F0lxdkpM3EsmlCgBXydpjjjeoHaEmY7dRYHRcqd6JsIm4IVpiZapRkpNjCUrOW6xu2K4aAz2AI/23vYroZKYiqggPSmOkgwHp7onwvJ65wbcVOVaI/6tUZGVvLg5KRz4/YEt9CqBuTJKwBVRw+7itLAI+ILPT9uwhyqLlb5VZCeFNYTSPe5lanaB7aoH+IooAVdEDbuLUumbnGHIPRPS1+kYDfRAqbZI/FujIjuJMc8cE965sLxeY7BuX3ngK6MEXBE17CkOxMHru0NbTthssQoUDW0s3PkwhVEa+13YbcJy/496ogRcETXUFqRitwlO9YQ2jNI86EYIwlpuFw6WlhKGg8Y+F1uzk183gUpxASXgiqghMc5Oda6TkyGOgzf2uSjPTLKc8BRnOIixibDFwRv7XSp8sgpKwBVRxe7iVE51T+D3L9/XRg/O9E6yo9B6Owdj7TZKMh1h8cDHPHP0T86oBOYqKAFXRBV7S9JxzSxwPkQiNDo1S9/kDDstKOAQvlJClcBcG0rAFVHFwWC/mqMd4yF5/tO9gQSpFT1wgC3ZSXSOevGF8AoGLmyhVx74pVECrogqyjIdZCXHcbRjLCTPr7WsrS20pvBUZCcx5/PTMx7a3uCNfS4KUhMs0Us9lCgBV0QVQggOlmWETMBP90xSlukgJSE2JM9vNIs9UUIcRlEJzLWhBFwRdRwoy6BnfJr+yWndn/u0RROYGpXB0kit1j0UBHqAe1T4ZA0oAVdEHQfL0gH94+Djnjl6J6Ytm8CEQDO33JR4zg2ETsCbB934/FJ54GtgVQEXQvxICDEkhDiz5FiGEOJJIURL8DY9tGYqFPqxPT8FR5ydOp3DKFoC08oCDlCdl7I4aDgU1PdoPcCt/f+oB2vxwH8C3HLRsc8AT0kpK4Gngv9WKExBjN3GvpJ03T1wTcBrLS7gNXlOWoenWPCFZrzaqe4JMpPiKEpXs2VXY1UBl1I+B1zsqtwGPBD8/QHgdp3tUihCyoGydM4OuJicntftOc/0TlKa6SA10ZoJTI3qXCdzC/6QDTmu75lkV1EqQqge4Kux0Rh4rpSyHyB4m7PSHYUQHxZC1Akh6oaHhzf4cgqFvhwsy0BKdA2j1PdYO4GpUR1skxuKMIpndoGWITe7ggM4FJcm5ElMKeUPpJQHpJQHsrOzQ/1yCsWa2F+aTnyMjedbRnR5vv7JaXonptlfYv100NacZOw2EZJE5pneSfzyQudIxaXZqIAPCiHyAYK3Q/qZpFCEnoRYO5dXZPJciz5XhXXBePqBMusLeEKsnbJMR0g8cK1T5K4i61/J6MFGBfxR4O7g73cDv9PHHIUifFxbmUXbsEeXXYXHOsdxxNmjpna5Ji8lJB74qZ5JitITyUyO1/25rchaygh/CbwEVAsheoQQ9wD/CtwshGgBbg7+W6EwFddWBUJ6eoRRjnaMsac4jRh7dGytqM5z0jXmxTO7oOvznuqeWBxArVidtVSh3CWlzJdSxkopi6SU90spR6WUb5BSVgZvQ7MvWaEIIZU5yeSlJPD8JsMorpl5mvpdHCi1fvhEQ0tk6rkjc3Rqlp7xaRU+WQfR4S4oFMsghODaqiyOtIxsqqb5lbYx/BKu2JKlo3WRTU1QwPUMo2gbeHarBOaaUQKuiGquqczGNbPAqZ6Nz8l8oXWEhFgb+0qjR3iK0x044uy6JjJPdk8ghHVb8YYCJeCKqObqrVkIAc82bzyM8kLrCAfLMoiPsdYItUthswm25adwple/AdF1nWPU5KWQHB+j23NaHSXgiqgmPSmOA6Xp/LFhYEOPH3TN0DI0xZVRFD7R2FmYSkOfS5fhDvM+P8c7J7i8PEMHy6IHJeCKqOeWHfmcHXDTvoFhvX8+G9gCcUNN9G1S21WUyvS8T5fxdGd6J5me9y1OTFKsDSXgiqjnlh15APzhzPq98D81DlKYlkh1rlNvsyIerVqkfhP5Aw1twMbB8uip5NEDJeCKqKcwLZHdxWk8dqpvXY+bnvNxpHWEm7fnRmXjpfKsZJLi7JwO7p7cDK+2j1OelUSOM0EHy6IHJeAKBfAXewtp7HfR1O9a82OebR5idsHPTdtyQ2hZ5GK3CWoLUzm5SQ/c75cc7RjjMhU+WTdKwBUK4G27C4i1Cx453rPmx/zmRC9ZyfEcqohe4dlfmk5j3yQz874NP0fL0BST0/McVAnMdaMEXKEAMpLieENNLg8f712TGE145/jz2SFu21MQNdvnl2N/STrzPsmp7o2HUV4Nxr9VBcr6id53nkJxEe+/spQxzxy/O9m76n1/e6KXeZ/kjr2FYbAsctkXbB9wrGvj041ebR8jLyVBTeDZAErAFYogV1RkUpPn5P4j7fgvUdvs80t+9EIHe0vSon7XYEZSHBXZSRzb4Hg6v1/y0vlRLq/IiMpE8GZRAq5QBBFC8JHrt9A8OMVj9StXpPyxYYCuMS8fuqYijNZFLgdLMzjaMbahDT2N/S5Gpma5tjL66uj1QAm4QrGEt+0qYFt+Cv/niXNMz70+Fj674OOrT5yjIiuJN9XmGWBh5HHl1kxcMws09K2/GkUbqHFNVfTtZNUDJeAKxRJsNsHn3rqNnvFpvnS48XV///dn2mgf8fD5t9dit6lLfoArtmQC8ELr6Lof+1zzMNvyU1T99wZRAq5QXMSVW7L40DXl/PzlLr7/7PnF47890cs3/tTMbXsKuK5KXfJr5DgTqMpN5sXz6xuMMemdp65jnOur1f/lRlFtvxSKZfj7N9XQPznDlx8/y2P1fSTG2jnaMc6B0nS+8pe7jDYv4rhqaxa/eKWLmXkfCbFr68r41NlBFvySN26Pzo1QeqA8cIViGeJibHzrXXv54u07sAvB7IKfv39TNQ9+6PI1C1Q0cWNNDrMLfo6sYzzdEw0D5KbEqxFqm0B54ArFCthtgvceKuW9h0qNNiXiubw8E2dCDH9sHOCmNXjU3rkFnm0e5h37i7GpXMKGUR64QqHYNHExNm6syeFPTUNrKid8/PQAM/N+3ra7IAzWWRcl4AqFQhduqc1jzDPHkdbVwygPH++hJMPBwTLVPnYzKAFXKBS6cOO2HNIcsfxHXfcl79c95uXF86P81f4itftykygBVygUuhAfY+f2PYU82TDImGduxfvdf6SdWLvgHQeKwmidNVECrlAodOPdl5cw5/Pzkxc7lv37uGeOh452c9ueQvJTVfOqzaIEXKFQ6EZVrpM378jjR0famfC+3gv/5p+amVnw8eFrVR8ZPVACrlAodOUTN1XhmVvgf/9X02uOn+ga52cvd/K+Q6VUReEM0VCgBFyhUOhKdZ6Tj91YycPHe/jeM+eRUtLU7+JDP60jLyWBT72x2mgTLcOmNvIIIToAN+ADFqSUB/QwSqFQmJuPv6GSlkE3X/nDWe4/0saoZ44MRxw/++DlpCbGGm2eZdBjJ+YNUsr1dbFRKBSWxm4TfPc9+3jkeC+vto+Rm5rA3VeUkpkcb7RplkJtpVcoFCFBCMFf7i/iL/ercsFQsdkYuAT+KIQ4JoT48HJ3EEJ8WAhRJ4SoGx4e3uTLKRQKhUJjswJ+lZRyH/Bm4F4hxLUX30FK+QMp5QEp5YHsbNX3V6FQKPRiUwIupewL3g4BvwEu08MohUKhUKzOhgVcCJEkhHBqvwNvBM7oZZhCoVAoLs1mkpi5wG+CzWhigF9IKf+gi1UKhUKhWJUNC7iUsg3YraMtCoVCoVgHaiemQqFQmBQl4AqFQmFShJSrjz/S7cWEGAY6N/jwLMDqOz6tvkarrw+sv0arrw8ic42lUsrX1WGHVcA3gxCizuq9Vqy+RquvD6y/RquvD8y1RhVCUSgUCpOiBFyhUChMipkE/AdGGxAGrL5Gq68PrL9Gq68PTLRG08TAFQqFQvFazOSBKxQKhWIJSsAVCoXCpJhCwIUQtwghzgkhWoUQnzHaHj0QQnQIIU4LIU4KIeqCxzKEEE8KIVqCt+lG27kehBA/EkIMCSHOLDm27JpEgG8Hz2m9EGKfcZavnRXW+AUhRG/wXJ4UQty65G//EFzjOSHEm4yxeu0IIYqFEE8LIZqEEA1CiI8Hj1viPF5ifeY8h1LKiP4B7MB5oAKIA04B2422S4d1dQBZFx37KvCZ4O+fAb5itJ3rXNO1wD7gzGprAm4FHgcEcAh4xWj7N7HGLwB/t8x9twffr/FAefB9bDd6DausLx/YF/zdCTQH12GJ83iJ9ZnyHJrBA78MaJVStkkp54BfAbcZbFOouA14IPj7A8DtBtqybqSUzwFjFx1eaU23AT+VAV4G0oQQ+eGxdOOssMaVuA34lZRyVkrZDrQS4T3zpZT9Usrjwd/dQBNQiEXO4yXWtxIRfQ7NIOCFQPeSf/dw6f9ws7DcOLpcKWU/BN5oQI5h1unHSmuy2nn9aDCE8KMloS9Tr1EIUQbsBV7BgufxovWBCc+hGQRcLHPMCrWPq46jszhWOq/fA7YAe4B+4GvB46ZdoxAiGXgY+ISU0nWpuy5zLOLXuMz6THkOzSDgPUDxkn8XAX0G2aIbcvlxdIPa5Wfwdsg4C3VjpTVZ5rxKKQellD4ppR+4jwuX2KZcoxAiloC4PSilfCR42DLncbn1mfUcmkHAjwKVQohyIUQc8C7gUYNt2hSXGEf3KHB38G53A78zxkJdWWlNjwLvD1YxHAImtUt0s3FRzPcOLowWfBR4lxAiXghRDlQCr4bbvvUgAiO27geapJRfX/InS5zHldZn2nNodBZ1jZnjWwlki88DnzXaHh3WU0Egs30KaNDWBGQCTwEtwdsMo21d57p+SeDyc56A53LPSmsicGn6neA5PQ0cMNr+TazxZ8E11BP4wOcvuf9ng2s8B7zZaPvXsL6rCYQI6oGTwZ9brXIeL7E+U55DtZVeoVAoTIoZQigKhUKhWAYl4AqFQmFSlIArFAqFSVECrlAoFCZFCbhCoVCYFCXgCoVCYVKUgCsUCoVJ+f9beTNT032S1gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([f(i) for i in idx])\n",
    "for lc in locate:\n",
    "    plt.scatter(lc, f(lc), s=50, c='red', marker='o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_redlines(x[index], get_tip_locates(locates, contours))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_tip_leaf(x[7])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "49.94002759845422"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "calculate_average_length_leaf(x[57])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "67.72001181334805"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "calculate_max_length_leaf(x[57])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
